445400340 has 384 divisors, whose sum is σ = 1693052928. Its totient is φ = 84664320.

The previous prime is 445400317. The next prime is 445400369. The reversal of 445400340 is 43004544.

It is a self number, because there is not a number n which added to its sum of digits gives 445400340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4162567 + ... + 4162673.

It is an arithmetic number, because the mean of its divisors is an integer number (4408992).

Almost surely, 2^445400340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846526464).

445400340 is an abundant number, since it is smaller than the sum of its proper divisors (1247652588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445400340 is a wasteful number, since it uses less digits than its factorization.

445400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 445400340 is about 21104.5099445592. The cubic root of 445400340 is about 763.6895502277.

Adding to 445400340 its reverse (43004544), we get a palindrome (488404884).

The spelling of 445400340 in words is "four hundred forty-five million, four hundred thousand, three hundred forty".